What is expand (x^3(21x^2-60x+40))/2 ?

The solution to expand (x^3(21x^2-60x+40))/2 is (21x^5)/2-30x^4+20x^3

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expand (x^3(21x^2-60x+40))/2

expand

\frac{x ^{3} ( 21 x ^{2} - 60 x + 40 )}{2}

\frac{21 x ^{5}}{2} - 30 x^{4} + 20 x^{3}

Solution steps

\frac{x ^{3} ( 21 x ^{2} - 60 x + 40 )}{2}

Expand

x^{3} (21 x^{2} - 60 x + 40) : 21 x^{5} - 60 x^{4} + 40 x^{3}

= \frac{21 x ^{5} - 60 x ^{4} + 40 x ^{3}}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{21 x ^{5} - 60 x ^{4} + 40 x ^{3}}{2} = \frac{21 x ^{5}}{2} - \frac{60 x ^{4}}{2} + \frac{40 x ^{3}}{2}

= \frac{21 x ^{5}}{2} - \frac{60 x ^{4}}{2} + \frac{40 x ^{3}}{2}

Divide the numbers:

\frac{60}{2} = 30

= \frac{21 x ^{5}}{2} - 30 x^{4} + \frac{40 x ^{3}}{2}

Divide the numbers:

\frac{40}{2} = 20

= \frac{21 x ^{5}}{2} - 30 x^{4} + 20 x^{3}

A (A^{^{'}} + A B)

\frac{x ^{3}}{( e ^{5 x} - 1 ) ( x - 1 )}

(2 (k + 1))!

(6 + \frac{2 i}{n})^{2}

\frac{x ( 2 - x ) ^{2}}{2}

What is expand (x^3(21x^2-60x+40))/2 ?
The solution to expand (x^3(21x^2-60x+40))/2 is (21x^5)/2-30x^4+20x^3